Solve 3(2z−4)=−6(2−z). help!!
Answer:
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Step-by-step explanation:
The church youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies, and 1 can of popcorn for a total sales of $85. Brian sold 4 pounds of candy, 4 boxes of cookies, and 3 cans of popcorn for a total sales of $170. Paulina sold 8 pounds of candy, 8 boxes of cookies, and 5 cans of popcorn for a total sales of $330. What is the cost of each item? (Simplify your answers completely.)
The cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.
We have the church youth group is selling snacks to raise money to attend their convention.
We have to determine the cost of each item they sold.
Write the following statement in the form of a mathematical equation - Steve bought 2 toffees each of $x and 5 chocolates each of $y. The total cost is $50.The mathematical equation representing the above statement is -
2x + 5y = 50
According to question -
Assume that the cost of :
1 pound candy = $x
1 box of cookies = $y
1 can of popcorn = $z
Now, write down the mathematical equation representing their total sales -
Amy - 2x + 3y + z = 85
Brian - 4x + 4y + 3z = 170
Paulina - 8x + 8y + 5z = 330
We will use the Cramer's rule to solve these equations -
The 3 x 3 coefficient matrix is -
[tex]\left[\begin{array}{ccc}2&3&1\\4&4&3\\8&8&5\end{array}\right][/tex]
Find its determinant -
D = 2(4 x 5 - 3 x 8) - 3(4 x 5 - 8 x 3) + 1(4 x 8 - 4 x 8) = 4
Create the X- matrix (X - matrix is formed by replacing the x-column values with the answer-column values) as follows -
[tex]\left[\begin{array}{ccc}85&3&1\\170&4&3\\330&8&5\end{array}\right][/tex]
Find th determinant of this X - matrix same as done above -
D(X) = 120
Similarly create a Y - matrix and Z - matrix and find their respective determinants. On solving you will get -
D(Y) = 20
D(Z) = 40
According to the Cramer's rule -
[tex]$x = \frac{D_{x} }{D}[/tex]
[tex]$y = \frac{D_{y} }{D}[/tex]
[tex]$z = \frac{D_{z} }{D}[/tex]
Therefore -
x = 120/4 = 30
y = 20/4 = 5
z = 40/4 = 10
Hence, the cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.
To solve more questions on Linear equations and Cramer's rule, visit the link below -
https://brainly.com/question/12682009
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the area of the rectangular city park is 25/24 square miles. the length of the park is 5/9 mile. what is the width,in mils, of the park
Answer:
A rectangle's area is Length * Width [Let x = rectangle's width] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] The width is 5/6 miles A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] The width is 5/6 miles Just to check: (5/9)*(5/6) = 25/54what is 437+1256
[tex]math[/tex]
Answer:
1693 is the result of the sum 437 plus 1256
Helpppppppppppppppppp
Answer:
c
Step-by-step explanation:
v
What is the value of x?
(3x)
20
(x + 40)
R.
35
Ο Ο Ο Ο
w
S
60
70
Explain what you need to do with the decimals when adding or subtracting with decimals?
HELPPP!!! SOMEONE PLEEASEEE!!! :(
URGENT!!!!
Answer:
9.3%
Step-by-step explanation:
The declined rate is 1.3% during 9 years
13.2%-11.9%=1.3%
2015-1995=20 is the year difference
11.9%-1.3%=10.6% for 9 years
10.6%-1.3%=9.3% for another 9 years
so the answer has to be 9.3%
Determine whether 6 is a solution of the equation 2x - 5 = 1.
Choose the correct answer below.
ips
O A. Yes, 6 is a solution to the equation because a true statement results after replacing x with 6.
O B. No. 6 is not a solution to the equation because a false statement results after replacing x with 6.
O C. Yes, 6 is a solution to the equation because a false statement results after replacing x with 6.
Q D. No. 6 is not a solution to the equation because a true statement results after replacing x with 6.
2
ary
15
Answer:
B
Step-by-step explanation:
To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.
2(6) - 5 = 12 - 5 = 7 ≠ 1
Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)
13. Solve: x over 5 =6. X=
6
5
30
1.25
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let's solve :
[tex] \dfrac{x}{5} = 6[/tex][tex] \dfrac{x}{5} \times 5 = 6 \times 5[/tex][tex]x = 30[/tex]value of x = 30
30
Step-by-step explanation:[tex] \mathfrak{ \frac{x}{5} = 6 }[/tex]
[tex] \mathfrak{ x = 5 × 6 }[/tex]
x = 30
help me with these questions fast I willl give brainliest
Answer:
first one is c 28
Step-by-step explanation:
second it might be b but i know the first one is c
Mr. Liu is driving with 10 gallons of gas in his tank. His car uses 1.5 gallons of gas per hour.
Answer:
what's the question im confused sorry
1/2x - 5+ 2/3 x= 7/6x+4
Heyyyy help me please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's your Answer :
18.134 after rounding off - 18.1
2.28 after rounding off - 2.3
let's perform subtraction to get the required Answer :
[tex]18.1 - 2.3[/tex][tex]15 .8[/tex]What is the slope-intercept form of the linear equation 4x + 2y = 24?
Drag and drop the appropriate number, symbol, or variable to each box.
Response areaResponse areaResponse area
Step-by-step explanation:
the slope-intercept form =x + (y/2) =6
X-3 = square root of 4x
Answer: x = 9
Step-by-step explanation: hope this helps you!
Find the product of 2 5/6 and 3
Answer:
8.5 or 8 1/2.
Step-by-step explanation:
To find the product of 2 5/6 and 3, you can multiply the two numbers together.
2 5/6 x 3 is equal to 8.5, therefore, the product of these two numbers is 8 1/2.
Please help me with these thanks!! :)
Answer:
-6: integer, rational, real
0: whole, integer, rational, real
0.222...: rational, real
15/3: whole , integer (if talking 5), rational, real
2: all except irrational
√3: irrational, real
-12/6: Integer, rational, real
Answer:
Hii okay so,
Question One: Integer
Question Two: Whole
Question Three: Irrational
Question Four: Rational
Question Five: Real
Question Six: Rational
Question Seven: Irrational
Question Eight: Rational
Step-by-step explanation:
Remembering doing something like this last year. Hope this helps!
which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
9514 1404 393
Answer:
7/8
Step-by-step explanation:
7/8 differs from 1 = 8/8 by 1/8.
8/7 differs from 1 = 7/7 by 1/7.
1/8 is smaller than 1/7, so 7/8 is closer to 1.
five is eleven more than four times a number
Answer:
4 x -1.5 = -6
-6 + 11 = 5
hope this is correct if so brainlest would be appreciated.
Answer:
n = - 3/2
Step-by-step explanation:
4n + 11 = 5
4n = 5 - 11
n = -6/4 = - 3/2
The movement of the progress bar may be uneven becouse questions can be worth more or less including zero) depending on your answer
What is 35% of 28.6?
0.1001
1.001
10.01
0 100.1
Submit
Hold
Pass
Dony know answer
Skip for now
Answer:
10.01
Step-by-step explanation:
35% of 28.6
35/100*28.6
1001/100
=10.01
Which of the following describes point d?
15 people are to share 4.5 pizzas equally. What fraction of pizza do each one get?
Answer:
3/10
Step-by-step explanation:
4.5 divided by 15 = 0.3 or 3/10 in faction form.
A large multiplex movie house has many theaters. The largest theater has 48 rows. There are 13 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in the theater?
Find the midpoint of each segment with the given endpoints A(-4,6)and(10,10)
I need help!!!
15 points!!
Answer:
the answer is B
[tex] \frac{5}{14} [/tex]
Evaluate the expression.
-41-5(7–13)–19]
2(-1)
What is the value of the expression?
Answer:
-25
Step-by-step explanation:
k12
Answer:
-25
Step-by-step explanation:
ФωФFind X in these 3 right angle triangles
Answer:
x=3
Step-by-step explanation:
x-5+11=x
2x=-5+11
2x=6
x=3
Doug has a shelf 9 3/4 inches long for storing CDs. Each CD is 3/8 inches wide. How many CDs will fit in one shelf?
Answer:
26 CD's
Step-by-step explanation:
If the shelf is 9 3/4 inches long, and each CD is 3/8, all we have to do is divide. We get 26.
First:
Convert any mixed numbers to fractions.
Then your equation becomes:
39/4÷3/8
Applying the fractions formula for division,
=39×8/4×3
=312/12
Simplifying 312/12, the answer is
=26
What is 6 divided by 618
Answer:
103=618/6
0.0097=6/618
Step-by-step explanation:
Answer:
[tex]\frac{1}{103}[/tex] ≈ 0.009708738
Step-by-step explanation:
6 ÷ 618
Reduce the fraction [tex]\frac{6}{618}[/tex] to lowest terms by extracting and canceling out 6.
[tex]\frac{1}{103}[/tex]